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Finding the Fourth Proportional to 93,463.81, 140,164.05 and 30,266.80

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Solution

The fourth proportional to 93,463.81, 140,164.05 and 30,266.80 is: 45,389.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,463.81 : 140,164.05 = 30,266.80 : x
  2. Step 2: Convert to fraction form
    93,463.81/140,164.05 = 30,266.80/x
  3. Step 3: Cross multiply
    93,463.81x = 140,164.05 × 30,266.80
  4. Step 4: Simplify right side
    93,463.81x = 4,242,317,268.54
  5. Step 5: Solve for x
    x = 4,242,317,268.54/93,463.81
  6. Step 6: Final answer
    x = 45,389.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.